TSTP Solution File: LCL851-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL851-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:28:17 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f901,axiom,
    ! [V_e,V_i,V_U,V_t,V_T] :
      ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
      | ~ c_Type_Otyping(V_e,V_t,V_T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f905,axiom,
    c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f906,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2425,plain,
    ! [V_e,V_t,V_T] :
      ( ! [V_i,V_U] : c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
      | ~ c_Type_Otyping(V_e,V_t,V_T) ),
    inference(miniscoping,[status(esa)],[f901]) ).

fof(f2426,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
      | ~ c_Type_Otyping(X0,X3,X4) ),
    inference(cnf_transformation,[status(esa)],[f2425]) ).

fof(f2432,plain,
    c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
    inference(cnf_transformation,[status(esa)],[f905]) ).

fof(f2433,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
    inference(cnf_transformation,[status(esa)],[f906]) ).

fof(f2480,plain,
    ~ c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
    inference(resolution,[status(thm)],[f2426,f2433]) ).

fof(f2481,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2480,f2432]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL851-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 20:22:34 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.41  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.085801 seconds
% 0.20/0.44  % CPU time: 0.131443 seconds
% 0.20/0.44  % Total memory used: 26.932 MB
% 0.20/0.44  % Net memory used: 26.868 MB
%------------------------------------------------------------------------------